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Finding the Fourth Proportional to 146,308.52, 201,905.14 and 81,777.67

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Solution

The fourth proportional to 146,308.52, 201,905.14 and 81,777.67 is: 112,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,308.52 : 201,905.14 = 81,777.67 : x
  2. Step 2: Convert to fraction form
    146,308.52/201,905.14 = 81,777.67/x
  3. Step 3: Cross multiply
    146,308.52x = 201,905.14 × 81,777.67
  4. Step 4: Simplify right side
    146,308.52x = 16,511,331,501.34
  5. Step 5: Solve for x
    x = 16,511,331,501.34/146,308.52
  6. Step 6: Final answer
    x = 112,852.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.